13022101020213 has 6 divisors (see below), whose sum is σ = 18809701473654. Its totient is φ = 8681400680136.

The previous prime is 13022101020199. The next prime is 13022101020217. The reversal of 13022101020213 is 31202010122031.

13022101020213 is a `hidden beast` number, since 130 + 221 + 0 + 102 + 0 + 213 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7950268222884 + 5071832797329 = 2819622^2 + 2252073^2 .

It is not a de Polignac number, because 13022101020213 - 2¹⁷ = 13022100889141 is a prime.

It is a super-3 number, since 3×13022101020213³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022101020217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 723450056670 + ... + 723450056687.

It is an arithmetic number, because the mean of its divisors is an integer number (3134950245609).

Almost surely, 2^{13022101020213} is an apocalyptic number.

It is an amenable number.

13022101020213 is a deficient number, since it is larger than the sum of its proper divisors (5787600453441).

13022101020213 is a wasteful number, since it uses less digits than its factorization.

13022101020213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446900113363 (or 1446900113360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13022101020213 its reverse (31202010122031), we get a palindrome (44224111142244).

The spelling of 13022101020213 in words is "thirteen trillion, twenty-two billion, one hundred one million, twenty thousand, two hundred thirteen".